Performance Task (Summary in G.R.A.S.P.S. form):(T)
Goal: To create and use a linear equation to design and virtually build a balcony that Marriott hotels will use. Role: You are a team of architects who design luxurious decks and balconies for commercial companies and personal real estate. Audience: Members of The Board of Directors of Marriott International Inc. Situation: Marriott is remodeling balconies on their hotels and resorts across the country because current ones are unsafe. They desire a new standard balcony design that is safe and appropriate for their hotels and resorts. Product/Presentation: You will use Excel to create a linear equation and create multiple examples using different dimensions and creating a graph that models your balcony. You will put your information into Google SketchUp and virtually create a 3-D model of what your balcony would like. Standards (Criteria from both rubrics - product and presentation): Product: Neatness and Attractiveness - 10%, Excel Formula - 25%, Sketch - 25%, SketchUp Knowledge and Ability 15%, Functions of Excel - 15%, Time Management/Work Ethic - 10% Presentation: Time Limit - 10%, Preparedness - 25%, Enthusiasm - 15%, Speaks Clearly - 10% , Comprehension - 20%, Stays on Topic - 20%
Other Evidence (quizzes, test, prompts, observations, dialogues, work sample, etc.):
Other Evidence(OE)
• Glogster: Create a virtual poster showing how to graph and algebraically express linear functions.
• Google Earth: Pick a ski mountain in North America and find it's elevation and distance of trails. Use this information to find the longest and steepest trail the ski mountain offers. Students will use right triangles to find angles and slope.
• Comic Life: Choose a city (or two) and graph the population over a large period of time. Interpret the data and turn it into a comic strip story of the cities rise and fall of population. Story should be creative and well thought out.
• Podcast: Create a podcast that persuades your audience that a function is a rule. Use examples to argue your point.
• iMovie: Write a song or skit that teaches fellow classmates how to solve and analyze linear equations. Record on iMovie and create a music video or short movie.
• Prezi: Create a presentation that shows equations of a line and what properties make a linear equation. Show examples that aren't linear equations and include why.
Student Self-Assessment and Reflection
Self-Assessment(SA)
• Pre-assessment: survey that explores knowledge and skills
• Checking for understanding: thumbs up/down, entrance/exit ticket, flag it, onion ring, slap it, quick writes
• Timely Feedback: self assessment, peer feedback, and teacher feedback
Assessment Task Blue Print
What understandings/goals will be assessed through this task?(G)
Understanding
Goal (MLR)
• a function is a rule that assigns to each input exactly one output.
• functions have properties that can be represented algebraically, graphically, or verbally.
• the equation y=mx+b defines a linear function (straight line) and the constant of proportion (m) is the slope.
1. Understand that a function is a rule that assigns to each
input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
3. Interpret the equation y = mx+b as defining a linear function,
whose graph is a straight line; give examples of functions that are not linear.
What criteria are implied in the standard(s) understanding(s) regardless of the task specifics? What qualities must student work demonstrate to signify that standards were met?
Big Ideas
Big Ideas
• Algebra
• Linear Equations and Functions
Through what authentic performance task will students demonstrate understandings?
Task Description:(T)
Marriott International Inc. is remodeling some of their hotels and resorts across the country and are looking for a new, creative and safe balcony design they can use. They want a team of architects to design a safe balcony using proper measurements and dimensions and want you to provide them with your calculations in Excel. They would also like a virtual design of what the prospective balcony would look like in Google SketchUp. They want you to use Excel to create a linear equation that would create the dimensions of your balcony. They want you to show how different slopes would affect the height of your balcony and how different slopes and angles affect the safety of the balcony. You must put your calculations into Google SketchUp to virtually create a 3-D model of your balcony design. The Marriott has put out an add with their expectations and are going to select a few teams of architects to present their design to members of The Board of Directors. If after submitting your design you are chosen to present, your team must create an 8-10 minute presentation showing your Excel calculations and graph and your virtual design in Google SketchUp. You will be flown to Marriott headquarters in Bethesda, Maryland to present to The Board of Directors. If you prove to them that your design is the safest, most appropriate balcony for their resorts you and your team of architects will be paid accordingly for your design and it will be sent to a company to start building balconies designed by you!
What student products/performances will provide evidence of desired understandings?
Type II Product
Type of Presentation
• Excel/Google SketchUp
• Oral Presentation
By what criteria will student products/performances be evaluated?
Product Criteria
Presentation Criteria
• Neatness and Attractiveness 10%
• Excel Formula 25%
• Sketch 25%
• SketchUp Knowledge and Ability 15%
• Functions of Excel 15%
• Time Management/Work Ethic 10%
Stage 2 - Determine Acceptable Evidence.
Role: You are a team of architects who design luxurious decks and balconies for commercial companies and personal real estate.
Audience: Members of The Board of Directors of Marriott International Inc.
Situation: Marriott is remodeling balconies on their hotels and resorts across the country because current ones are unsafe. They desire a new standard balcony design that is safe and appropriate for their hotels and resorts.
Product/Presentation: You will use Excel to create a linear equation and create multiple examples using different dimensions and creating a graph that models your balcony. You will put your information into Google SketchUp and virtually create a 3-D model of what your balcony would like.
Standards (Criteria from both rubrics - product and presentation):
Product: Neatness and Attractiveness - 10%, Excel Formula - 25%, Sketch - 25%, SketchUp Knowledge and Ability 15%, Functions of Excel - 15%, Time Management/Work Ethic - 10%
Presentation: Time Limit - 10%, Preparedness - 25%, Enthusiasm - 15%, Speaks Clearly - 10% , Comprehension - 20%, Stays on Topic - 20%
• Google Earth: Pick a ski mountain in North America and find it's elevation and distance of trails. Use this information to find the longest and steepest trail the ski mountain offers. Students will use right triangles to find angles and slope.
• Comic Life: Choose a city (or two) and graph the population over a large period of time. Interpret the data and turn it into a comic strip story of the cities rise and fall of population. Story should be creative and well thought out.
• Podcast: Create a podcast that persuades your audience that a function is a rule. Use examples to argue your point.
• iMovie: Write a song or skit that teaches fellow classmates how to solve and analyze linear equations. Record on iMovie and create a music video or short movie.
• Prezi: Create a presentation that shows equations of a line and what properties make a linear equation. Show examples that aren't linear equations and include why.
• Checking for understanding: thumbs up/down, entrance/exit ticket, flag it, onion ring, slap it, quick writes
• Timely Feedback: self assessment, peer feedback, and teacher feedback
Assessment Task Blue Print
What understandings/goals will be assessed through this task? (G)
• functions have properties that can be represented algebraically, graphically, or verbally.
• the equation y=mx+b defines a linear function (straight line) and the constant of proportion (m) is the slope.
input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
3. Interpret the equation y = mx+b as defining a linear function,
whose graph is a straight line; give examples of functions that are not linear.
What criteria are implied in the standard(s) understanding(s) regardless of the task specifics? What qualities must student work demonstrate to signify that standards were met?
Through what authentic performance task will students demonstrate understandings?
What student products/performances will provide evidence of desired understandings?
By what criteria will student products/performances be evaluated?
• Excel Formula 25%
• Sketch 25%
• SketchUp Knowledge and Ability 15%
• Functions of Excel 15%
• Time Management/Work Ethic 10%
• Preparedness 25%
• Enthusiasm 15%
• Comprehension 20%
• Speaks Clearly 10%
• Stays on Topic 20%